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129 comments
  • My biggest issue is that a lot of physical models for natural phenomena are being solved using deep learning, and I am not sure how that helps deepen understanding of the natural world. I am for DL solutions, but maybe the DL solutions would benefit from being explainable in some form. For example, it’s kinda old but I really like all the work around gradcam and its successors https://arxiv.org/abs/1610.02391

    • How is it different than using numerical methods to find solutions to problems for which analytic solutions are difficult, infeasible, or simply impossible to solve.

      Any tool that helps us understand our universe. All models suck. Some of them are useful nevertheless.

      I admit my bias to the problem space though: I’m an AI engineer—classically trained in physics and engineering though.

      • In my experience, papers which propose numerical solutions cover in great detail the methodology (which relates to some underlying physical phenomena), and also explain boundary conditions to their solutions. In ML/DL papers, they tend to go over the network architecture in great detail as the network construction is the methodology. But the problem I think is that there’s a disconnect going from raw data to features to outputs. I think physics informed ML models are trying to close this gap somewhat.

      • well numerical models have to come up with some model that explains how relevant observables behave. With AI you don't even build the model that explains the system physically and mathematically, let alone the solution.

        It is basically like having Newton's Equations vs an AI that produces coordinates with respect to time (and possibly many other inputs we thought were relevant but weren't because we don't know the model) given initial conditions and force fields.

129 comments